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Há 4 dias · Infinity is a concept that signifies something without an end or any boundaries. In mathematics, a set of numbers is considered infinite when it can match up with its smaller parts one by one. For instance, the equation x + 5 = x makes sense only if x is an infinite number because adding 5 won’t change the result.
Há 19 horas · It is only possible to eliminate all infinities to obtain a finite result in renormalizable theories, whereas in non-renormalizable theories infinities cannot be removed by the redefinition of a small number of parameters. The Standard Model of elementary particles is a renormalizable QFT,: 719–727 while quantum gravity is non-renormalizable.
Há 5 dias · A Feynman diagram is a representation of quantum field theory processes in terms of particle interactions. The particles are represented by the lines of the diagram, which can be squiggly or straight, with an arrow or without, depending on the type of particle.
Há 5 dias · Here, Bethe realized that all infinite results related to two phenomena (specifically “electron self-energy” and “vacuum polarization”), such that the observed values of electron mass and electron charge could be used to make all the infinities disappear.
Há 4 dias · Infinity is one of the most astonishing concepts in mathematics and it has the ability to spin one’s head. But this abstract idea goes on revealing increasingly interesting facts and paradoxes – from different-sized infinities to negative numbers of infinities.
Há 3 dias · As a consequence, we found that relativistic quantum fields are universal embezzlers, which provides an operational interpretation of their diverging amount of entanglement. Thus, one of the infinities that plague relativistic quantum field theory can be seen as a feature instead of a bug.
Há 4 dias · Georg Cantor. In full: Georg Ferdinand Ludwig Philipp Cantor. Born: March 3, 1845, St. Petersburg, Russia. Died: January 6, 1918, Halle, Germany (aged 72) Notable Works: “Contributions to the Founding of the Theory of Transfinite Numbers” “Grundlagen einer allgemeinen Mannigfaltigkeitslehre” (Show more) Subjects Of Study: Cantor’s paradox.
